and try to understand if one can recover \(f\)  from measurements of the absolute value \(\left|\mathcal {G}f \right|\)  on discrete sets \(S \subset \mathbb {R}^2\) . This so-called sampled Gabor phase retrieval problem has recently been studied extensively [1]}, [2]}, [3]}, [4]}. It is an elegant mathematical problem in the sense that it is rather easy to state while, at the same time, being less easy to solve. Moreover, it is connected to certain audio processing applications such as the phase vocoder [5]}, [6]}, for example.
